The author obtains main results as follows: ( 1) Based on Ding and Helleseth s generalized cyclotomy, new generalized cyclotomic sequences of order. 论文研究了几类广义分圆序列和一类低相关区序列集的构造,并深入分析了它们的随机性质。
In the third section, we construct two new families of almost difference sets by using cyclotomy modulo pq, where p and q are distinct primes; 第三部分利用模pq(p,q为互异素数)分圆类构造了两类新的几乎差集;
Then the method of exhaustion of west and the cyclotomy of China was produced in succession. 以后西方的穷竭法与中国的割园术相继出现。
Late Qing mathematicians tried to be free from logic but not from empiric of the cyclotomy. 晚清算家倾向于摆脱割圆术的逻辑基础而非直观基础。
In the second section, we discuss the possibility of constructing almost difference sets with 2, 4 and 6 order cyclotomy classes; 第二部分就2阶、4阶及6阶分圆类可能构成几乎差集的情形给于讨论;
R-Circulant matrices and the cyclotomy r-循环矩阵和分圆类
We further construct an FHS set with optimal average partial Hamming correlation by feat of the Chinese Remainder Theorem and the generalized cyclotomy. 同时再次利用广义分圆术和中国剩余定理构造了一类具有最优平均部分相关的跳频序列集。